Two Partners Start a Business

question 5

Multiple Choice

Two partners start a business.Each has two possible strategies, spend full time or secretly take a second job and spend only part time on the business.Any profits that the business makes will be split equally between the two partners, regardless of whether they work full time or part time for the business.If a partner takes a second job, he will earn $10,000 from this job plus his share of profits from the business.If he spends full time on the business, his only source of income is his share of profits from this business.If both partners spend full time on the business, total profits will be $200,000.If one partner spends full time on the business and the other takes a second job, the business profits will be $80,000.If both partners take second job, the total business profits are $20,000.

• A)This game has two Nash equilibria, one in which each partner has an income of $100,000 and one in which each partner has an income of $20,000.
• B)In the only Nash equilibrium for this game, both partners earn $20,000.
• C)In the only Nash equilibrium for this game, one partner earns $50,000 and the other earns $40,000.
• D)In the only Nash equilibrium for this game, both partners earn $100,000.
• E)This game has no pure strategy Nash equilibria, but has a mixed strategy equilibrium.

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Definitions:

Weighted Average

A mathematical calculation that takes into account the varying degrees of importance of the numbers in a data set, providing a measure that reflects the relative importance of each value.

Unlevered Cost

The cost of an investment or project without considering the effects of debt financing, focusing solely on equity-financed expenses.

Cost of Debt

The effective rate a company pays on its current debt, incorporating the tax shield benefits of interest payments.

Asset Beta

A measure of the risk of an asset held in isolation, compared to the market as a whole.